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Finding the Fourth Proportional to 223,209.70, 307,942.54 and 126,391.32

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Solution

The fourth proportional to 223,209.70, 307,942.54 and 126,391.32 is: 174,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,209.70 : 307,942.54 = 126,391.32 : x
  2. Step 2: Convert to fraction form
    223,209.70/307,942.54 = 126,391.32/x
  3. Step 3: Cross multiply
    223,209.70x = 307,942.54 × 126,391.32
  4. Step 4: Simplify right side
    223,209.70x = 38,921,264,114.75
  5. Step 5: Solve for x
    x = 38,921,264,114.75/223,209.70
  6. Step 6: Final answer
    x = 174,370.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.